Quantization effects in direct-form FIR filters consider a direct-form realization of an FIR filter of length M. Suppose that the multiplication of each coefficient with the corresponding signal sample is performed in fixed-point arithmetic with b bits and each product is rounded to b bits. Determine the variance of the quantization noise at the output of filter by using a statistical characterization of the round-off noise as in section7.7.3.

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v(n - 1), a > 0 (7.7.3) Q-lav(n – 1)] = %3D -v(n - 1), a <0